LeVeque W.J. — Elementary theory of numbers :: Электронная библиотека попечительского совета мехмата МГУ

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LeVeque W.J. — Elementary theory of numbers

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Название: Elementary theory of numbers

Автор: LeVeque W.J.

Аннотация:

Superb introduction for readers with limited formal mathematical training. Topics include Euclidean algorithm and its consequences, congruences, powers of an integer modulo m, continued fractions, Gaussian integers, Diophantine equations, more. Carefully selected problems included throughout, with answers. Only high school math needed. Bibliography.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1990

Количество страниц: 136

Добавлена в каталог: 17.11.2013

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Предметный указатель

$\tau(n)$       3
Additive number theory      5
Algorithm      23
Base      19
Binary system      20
Bit      20
Casting out nines      39
Chebyshev, P.L.      5
Chinese remainder theorem      52
Complete quotient      75
Complete residue system      40
Composite      26
Congruence      36 55
Continued fraction      75
Convergent      77
D(n)      3
Diophantine approximation      7 91
Diophantine equation      3 30 108
Dirichlet, P.L.      16 54
Divisibility, tests for      39
Division theorem      17 73 100
Duodecimal system      20
Equivalence relation      36
Erdoes, P.      5
Euclidean algorithm      23 100 107
Euler, L.      105 111
Euler’s $\varphi$ -function      43
Euler’s criterion      59
Euler’s theorem      64
EXPONENT      63
Fermat, P.      6 64 105
Fermat’s conjecture      7 110
Fermat’s theorem      64
Fibonacci sequence      11
Gauss, C.F.      5 7
GCD      22 101
Goldbach, C.      6
Greatest common divisor      22 101
Hadamard, J.      5
Hardy, G.H.      1
Hilbert, D.      6
Indirect proof      15

Induction axiom      10
Induction hypothesis      13
Lagrange, J.L.      6 57 111
LCM      35
Least common multiple      35
Legendre, A.      5
Modular arithmetic      41
Multiplicative function      44
Multiplicative number theory      3
Norm, N.      97 106
nth power residue      71
Order of a (mod m)      63
Peano axioms      8
Pell equation      111
Periodic continued fraction      88
Poussin, de la Vallee      5
Prime      3 98 106
Prime number theorem      5
Prime twins      6
Primitive root      68
Pythagorean equation      2 108
Quadratic irrationality      87
Quadratic residue      59
RADIX      19
Ramanujan, S.      1
Rational integer      96
Recursive definition      11
Reduced residue system      43
Relatively prime      24
Residue class      40
Selberg, A.      5
Siegel, C.L.      112
symbols      22 35 36 71 73 97
Symbols, $(a,b\rangle$       35
Symbols, $\equiv$       36
Symbols, $\{a_0;a_1,...\}$       71
Symbols, $|,\dagger$       22 97
Symbols, (a,b)      22
Symbols, [x]      73
Unique factorization theorem      27 58 102 108
UNIT      97
Well-ordering Axiom      10
Z      96

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